Different ploting tools

%%capture
%run ./001_dataset-regression.ipynb

Matplotlib & ipywidget

def plot_f(i: int,x_datasets: np.array,y_datasets_w_noise: np.array,true_f_x: np.array,true_f_y: np.array):
    """
    Plot the function and the data coming from it for specific dataset i in x_datasets.
    i: index to indicate which dataset to plot from x_datasets.
    x_datasets: input features of the d datatsets.
    y_datasets_w_noise: targets of the d datasets.
    true_f_x: x coordinates of the points from the true function.
    true_f_y: y cordinates of the points from the true function.
    """
    fig,ax = plt.subplots(figsize=(7,7))
    ax.set_ylim((-4,18))
    ax.set_xlim((0,10))
    ord = x_datasets[i,:].argsort()
    ax.plot(true_f_x,true_f_y,color='blue')
    ax.scatter(x_datasets[i,:],y_datasets_w_noise[i,:],color = 'orange')
    return ax
interact(lambda i : plot_f(i,X_trains,y_trains,true_f_x,true_f_y), i=widgets.IntSlider(min=0, max=d-1, step=1, value=0));

Plotly

def f_plotly(i: int,x_datasets: np.array,y_datasets_w_noise: np.array,true_f_x: np.array,true_f_y: np.array):
    """
    Plot the function and the data coming from it for specific dataset i in x_datasets (using plotly).
    i: index to indicate which dataset to plot from x_datasets.
    x_datasets: input features of the d datatsets.
    y_datasets_w_noise: targets of the d datasets.
    true_f_x: x coordinates of the points from the true function.
    true_f_y: y cordinates of the points from the true function.
    """
    fig = go.Figure(
        layout=go.Layout(
          title=go.layout.Title(text=f"Samples and True Function. Dataset {i}"),
          xaxis_range = (0,10),
          yaxis_range = (-4,20),
          height=600,
          width=600,
          ))
    fig.add_trace(go.Scatter(x=x_datasets[i,:],y=y_datasets_w_noise[i,:],mode='markers',name='samples'))
    fig.add_trace(go.Scatter(x=true_f_x,y=true_f_y,mode='lines',name='true function'))
    return fig
interact(lambda i : f_plotly(i,X_trains,y_trains,true_f_x,true_f_y), i=widgets.IntSlider(min=0, max=d-1, step=1, value=0));

Ploting P(X,Y) with Seaborn

s = 1000000
a = 0 # lower for the uniform
b = 10 #upper for the uniform
x = np.random.uniform(low=a,high=b,size=(1,s))
y_dn = np.apply_along_axis(func1d= f ,axis=1,arr=x)
y_dn += np.random.normal(loc=0,scale=np.sqrt(0.5),size=(1,s))
data = pd.DataFrame(x.T,columns=["x"])
data["y"] = y_dn.T
import seaborn as sns
f_dist = sns.displot(data,x="x", y="y")
_images/996_ploting-tools_10_0.png

Ploting P(X,Y) with Plotly

s = 10000000
x = np.random.uniform(10,size=(1,s))
y_dn = np.apply_along_axis(func1d= f ,axis=1,arr=x)
y_dn += np.random.normal(loc=0,scale=np.sqrt(2),size=(1,s))
xedges = np.linspace(0,10,100)
yedges = np.linspace(0,20,100)
H, xedges, yedges = np.histogram2d(x.ravel(), y_dn.ravel(), bins=(xedges, yedges))
H /= s # normalize
H = H.T  # Let each row list bins with common y range.

X, Y = np.meshgrid(xedges + ((xedges[1] - xedges[0]) / 2 )
                   ,yedges + ((yedges[1] - yedges[0]) / 2 ))
Z = np.random.randint(100,size=(200,200))

fig = go.Figure(data=[go.Surface(x=X,y=Y,z=H)],
                layout=go.Layout(xaxis_range = (0,10),yaxis_range = (-4,20),height=600,width=600,))
fig.show()

Ploting P(X,Y) with Geogebra

Plot de Pr(X,Y) en Geogebra.

\n "}}, {"output_type": "display_data", "metadata": {}, "data": {"application/vnd.plotly.v1+json": {"config": {"plotlyServerURL": "https://plot.ly"}, "data": [{"mode": "markers", "name": "samples", "type": "scatter", "x": [2.2733602246716966, 3.1675833970975287, 7.973654573327341, 6.762546707509745, 3.91109550601909, 3.328139278663845, 5.983087535871898, 1.8673418560371335, 6.727560440146213, 9.418028652699372, 2.48245714629571, 9.488811518333183, 6.672374531003724, 0.9589793559411208, 4.418396661678128, 8.864799193275177, 6.974534998820221, 3.2647286407011213, 7.339281633300665, 2.201349555454862, 0.8159456954220812, 1.5989560107504752, 3.401001849547053, 4.651931537020509, 2.6642102829077094, 8.15776403424807, 1.932943892894945, 1.2946907617720027, 0.9166475154493592, 5.9856801366491315, 8.547419043740014, 6.016212416937131, 9.319883611359835, 7.2478136109202005, 8.605513173932923, 9.293378015753163, 5.461860090823531, 9.37672958767757, 4.949879400788243, 2.7377318248998748, 4.5177870747476065, 6.650389233995303, 3.3089093046705464, 9.034540068082391, 2.5707417527653433, 3.3982833761031985, 2.5885339864292733, 3.55446479944286, 0.05022333717131788, 6.286045440996787, 2.8238270742511826, 0.6808768948794575, 6.1682897725638055, 1.7632632028120343, 3.043883872195896, 4.4088681087611805, 1.502023410627008, 2.17928863085435, 4.743331153335445, 4.763688550811919, 2.5523235381950027, 2.9756526814804807, 2.7906711981376664, 2.6057921249129756, 4.827615927993158, 2.119790363515106, 4.956305966730406, 2.4626132583073757, 8.384826524669448, 1.8013059009503507, 8.621562915092365, 1.7829944484518745, 7.505313319372441, 6.111204038305652, 2.091550349286073, 7.5987242112399525, 2.492605695349125, 0.8557173198655799, 6.180567223180909, 5.369683310323356, 6.345267112152757, 1.7437410869138825, 2.4816448985645243, 6.848229846393991, 0.8087164625090748, 8.750736007561262, 4.286943815399918, 6.183941953973778, 3.1310550418511984, 1.789628552928676, 0.09712127795452608, 2.10042958448453, 8.700006787716521, 9.728298023975587, 4.417923431911024, 3.7874949480925335, 2.7594708126815015, 9.661041092344417, 0.5820260526584398, 4.087338988618549], "y": [6.054685111078699, 4.581428216625668, 5.392507052220794, 3.1080675129768505, 4.225743591355715, 5.404029322210892, 3.80463914702643, 5.753329701180897, 4.649222806665851, 11.237918383092238, 4.669660943003897, 13.930549212798873, 5.160353887865788, 3.0300355981689893, 3.8559364515218997, 8.161942283169342, 4.039384719056993, 6.03983853569104, 4.930849094382604, 5.424034531791298, 2.5259021041605063, 4.569832341022067, 4.965769774838419, 4.380241720895644, 5.2347390655805714, 6.31008268126745, 3.552542981066117, 3.6573007449069403, 2.783892713842448, 2.7643569577513687, 7.071709402987695, 2.813018560637876, 10.230794625455566, 3.9208819093804292, 7.229785120184925, 10.1501695278065, 4.5474441885661445, 11.159742985896985, 4.33024542000133, 5.481644407461004, 3.9631193173186925, 3.006917338571963, 5.81715741764601, 8.986826737549993, 4.036055828481662, 3.631836514574645, 5.449644905426189, 4.589484743872905, -0.25932339377199065, 3.1540966075962835, 5.032564804920202, 2.1581725589321983, 2.6584089574088465, 4.671637346834923, 5.99722066862099, 5.013041112691791, 3.062661433645985, 4.151967798258154, 3.3164349415249736, 4.067737456263263, 5.887989945350624, 5.539202643885522, 4.079999039826361, 5.335592087100507, 4.76503000585442, 4.738210601960448, 5.444029207045662, 4.7936699714728945, 7.460404128095968, 6.395750826419042, 6.566947115527144, 4.481334130311287, 4.902177096577251, 5.8155204580153885, 3.768124860486232, 5.05653378460235, 5.466462556634415, 2.518638400006851, 2.949595243015993, 3.447848024448515, 3.3320665756982906, 3.7613571075498493, 6.375304110171022, 2.959672317537496, 2.376796451421697, 7.511593538766557, 4.3238189413467625, 3.605547442379282, 4.744846866619307, 4.551624821369316, 1.2249464348244041, 5.786937268268037, 7.570915618057535, 13.812504324441113, 3.970619064522452, 5.1337064079088695, 4.308327093921722, 11.923565354571549, 1.3357248685073757, 5.641850626615588]}, {"mode": "lines", "name": "true function", "type": "scatter", "x": [0.0, 0.01001001001001001, 0.02002002002002002, 0.03003003003003003, 0.04004004004004004, 0.050050050050050046, 0.06006006006006006, 0.07007007007007007, 0.08008008008008008, 0.09009009009009009, 0.10010010010010009, 0.11011011011011011, 0.12012012012012012, 0.13013013013013014, 0.14014014014014015, 0.15015015015015015, 0.16016016016016016, 0.17017017017017017, 0.18018018018018017, 0.19019019019019018, 0.20020020020020018, 0.21021021021021022, 0.22022022022022023, 0.23023023023023023, 0.24024024024024024, 0.2502502502502503, 0.2602602602602603, 0.2702702702702703, 0.2802802802802803, 0.2902902902902903, 0.3003003003003003, 0.3103103103103103, 0.3203203203203203, 0.3303303303303303, 0.34034034034034033, 0.35035035035035034, 0.36036036036036034, 0.37037037037037035, 0.38038038038038036, 0.39039039039039036, 0.40040040040040037, 0.41041041041041043, 0.42042042042042044, 0.43043043043043044, 0.44044044044044045, 0.45045045045045046, 0.46046046046046046, 0.47047047047047047, 0.4804804804804805, 0.4904904904904905, 0.5005005005005005, 0.5105105105105106, 0.5205205205205206, 0.5305305305305306, 0.5405405405405406, 0.5505505505505506, 0.5605605605605606, 0.5705705705705706, 0.5805805805805806, 0.5905905905905906, 0.6006006006006006, 0.6106106106106106, 0.6206206206206206, 0.6306306306306306, 0.6406406406406406, 0.6506506506506506, 0.6606606606606606, 0.6706706706706707, 0.6806806806806807, 0.6906906906906907, 0.7007007007007007, 0.7107107107107107, 0.7207207207207207, 0.7307307307307307, 0.7407407407407407, 0.7507507507507507, 0.7607607607607607, 0.7707707707707707, 0.7807807807807807, 0.7907907907907907, 0.8008008008008007, 0.8108108108108109, 0.8208208208208209, 0.8308308308308309, 0.8408408408408409, 0.8508508508508509, 0.8608608608608609, 0.8708708708708709, 0.8808808808808809, 0.8908908908908909, 0.9009009009009009, 0.9109109109109109, 0.9209209209209209, 0.9309309309309309, 0.9409409409409409, 0.950950950950951, 0.960960960960961, 0.970970970970971, 0.980980980980981, 0.990990990990991, 1.001001001001001, 1.011011011011011, 1.021021021021021, 1.031031031031031, 1.0410410410410411, 1.0510510510510511, 1.0610610610610611, 1.0710710710710711, 1.0810810810810811, 1.0910910910910911, 1.1011011011011012, 1.1111111111111112, 1.1211211211211212, 1.1311311311311312, 1.1411411411411412, 1.1511511511511512, 1.1611611611611612, 1.1711711711711712, 1.1811811811811812, 1.1911911911911912, 1.2012012012012012, 1.2112112112112112, 1.2212212212212212, 1.2312312312312312, 1.2412412412412412, 1.2512512512512513, 1.2612612612612613, 1.2712712712712713, 1.2812812812812813, 1.2912912912912913, 1.3013013013013013, 1.3113113113113113, 1.3213213213213213, 1.3313313313313313, 1.3413413413413413, 1.3513513513513513, 1.3613613613613613, 1.3713713713713713, 1.3813813813813813, 1.3913913913913913, 1.4014014014014013, 1.4114114114114114, 1.4214214214214214, 1.4314314314314314, 1.4414414414414414, 1.4514514514514514, 1.4614614614614614, 1.4714714714714714, 1.4814814814814814, 1.4914914914914914, 1.5015015015015014, 1.5115115115115114, 1.5215215215215214, 1.5315315315315314, 1.5415415415415414, 1.5515515515515514, 1.5615615615615615, 1.5715715715715715, 1.5815815815815815, 1.5915915915915915, 1.6016016016016015, 1.6116116116116117, 1.6216216216216217, 1.6316316316316317, 1.6416416416416417, 1.6516516516516517, 1.6616616616616617, 1.6716716716716717, 1.6816816816816818, 1.6916916916916918, 1.7017017017017018, 1.7117117117117118, 1.7217217217217218, 1.7317317317317318, 1.7417417417417418, 1.7517517517517518, 1.7617617617617618, 1.7717717717717718, 1.7817817817817818, 1.7917917917917918, 1.8018018018018018, 1.8118118118118118, 1.8218218218218218, 1.8318318318318318, 1.8418418418418419, 1.8518518518518519, 1.8618618618618619, 1.8718718718718719, 1.8818818818818819, 1.8918918918918919, 1.901901901901902, 1.911911911911912, 1.921921921921922, 1.931931931931932, 1.941941941941942, 1.951951951951952, 1.961961961961962, 1.971971971971972, 1.981981981981982, 1.991991991991992, 2.002002002002002, 2.012012012012012, 2.022022022022022, 2.032032032032032, 2.042042042042042, 2.052052052052052, 2.062062062062062, 2.0720720720720722, 2.0820820820820822, 2.0920920920920922, 2.1021021021021022, 2.1121121121121122, 2.1221221221221223, 2.1321321321321323, 2.1421421421421423, 2.1521521521521523, 2.1621621621621623, 2.1721721721721723, 2.1821821821821823, 2.1921921921921923, 2.2022022022022023, 2.2122122122122123, 2.2222222222222223, 2.2322322322322323, 2.2422422422422423, 2.2522522522522523, 2.2622622622622623, 2.2722722722722724, 2.2822822822822824, 2.2922922922922924, 2.3023023023023024, 2.3123123123123124, 2.3223223223223224, 2.3323323323323324, 2.3423423423423424, 2.3523523523523524, 2.3623623623623624, 2.3723723723723724, 2.3823823823823824, 2.3923923923923924, 2.4024024024024024, 2.4124124124124124, 2.4224224224224224, 2.4324324324324325, 2.4424424424424425, 2.4524524524524525, 2.4624624624624625, 2.4724724724724725, 2.4824824824824825, 2.4924924924924925, 2.5025025025025025, 2.5125125125125125, 2.5225225225225225, 2.5325325325325325, 2.5425425425425425, 2.5525525525525525, 2.5625625625625625, 2.5725725725725725, 2.5825825825825826, 2.5925925925925926, 2.6026026026026026, 2.6126126126126126, 2.6226226226226226, 2.6326326326326326, 2.6426426426426426, 2.6526526526526526, 2.6626626626626626, 2.6726726726726726, 2.6826826826826826, 2.6926926926926926, 2.7027027027027026, 2.7127127127127126, 2.7227227227227226, 2.7327327327327327, 2.7427427427427427, 2.7527527527527527, 2.7627627627627627, 2.7727727727727727, 2.7827827827827827, 2.7927927927927927, 2.8028028028028027, 2.8128128128128127, 2.8228228228228227, 2.8328328328328327, 2.8428428428428427, 2.8528528528528527, 2.8628628628628627, 2.8728728728728727, 2.8828828828828827, 2.8928928928928928, 2.9029029029029028, 2.9129129129129128, 2.9229229229229228, 2.932932932932933, 2.942942942942943, 2.952952952952953, 2.962962962962963, 2.972972972972973, 2.982982982982983, 2.992992992992993, 3.003003003003003, 3.013013013013013, 3.023023023023023, 3.033033033033033, 3.043043043043043, 3.053053053053053, 3.063063063063063, 3.073073073073073, 3.083083083083083, 3.093093093093093, 3.103103103103103, 3.113113113113113, 3.123123123123123, 3.133133133133133, 3.143143143143143, 3.153153153153153, 3.163163163163163, 3.173173173173173, 3.183183183183183, 3.193193193193193, 3.203203203203203, 3.2132132132132134, 3.2232232232232234, 3.2332332332332334, 3.2432432432432434, 3.2532532532532534, 3.2632632632632634, 3.2732732732732734, 3.2832832832832834, 3.2932932932932935, 3.3033033033033035, 3.3133133133133135, 3.3233233233233235, 3.3333333333333335, 3.3433433433433435, 3.3533533533533535, 3.3633633633633635, 3.3733733733733735, 3.3833833833833835, 3.3933933933933935, 3.4034034034034035, 3.4134134134134135, 3.4234234234234235, 3.4334334334334335, 3.4434434434434436, 3.4534534534534536, 3.4634634634634636, 3.4734734734734736, 3.4834834834834836, 3.4934934934934936, 3.5035035035035036, 3.5135135135135136, 3.5235235235235236, 3.5335335335335336, 3.5435435435435436, 3.5535535535535536, 3.5635635635635636, 3.5735735735735736, 3.5835835835835836, 3.5935935935935936, 3.6036036036036037, 3.6136136136136137, 3.6236236236236237, 3.6336336336336337, 3.6436436436436437, 3.6536536536536537, 3.6636636636636637, 3.6736736736736737, 3.6836836836836837, 3.6936936936936937, 3.7037037037037037, 3.7137137137137137, 3.7237237237237237, 3.7337337337337337, 3.7437437437437437, 3.7537537537537538, 3.7637637637637638, 3.7737737737737738, 3.7837837837837838, 3.793793793793794, 3.803803803803804, 3.813813813813814, 3.823823823823824, 3.833833833833834, 3.843843843843844, 3.853853853853854, 3.863863863863864, 3.873873873873874, 3.883883883883884, 3.893893893893894, 3.903903903903904, 3.913913913913914, 3.923923923923924, 3.933933933933934, 3.943943943943944, 3.953953953953954, 3.963963963963964, 3.973973973973974, 3.983983983983984, 3.993993993993994, 4.004004004004004, 4.014014014014014, 4.024024024024024, 4.034034034034034, 4.044044044044044, 4.054054054054054, 4.064064064064064, 4.074074074074074, 4.084084084084084, 4.094094094094094, 4.104104104104104, 4.114114114114114, 4.124124124124124, 4.134134134134134, 4.1441441441441444, 4.1541541541541545, 4.1641641641641645, 4.1741741741741745, 4.1841841841841845, 4.1941941941941945, 4.2042042042042045, 4.2142142142142145, 4.2242242242242245, 4.2342342342342345, 4.2442442442442445, 4.2542542542542545, 4.2642642642642645, 4.2742742742742745, 4.2842842842842845, 4.2942942942942945, 4.3043043043043046, 4.314314314314315, 4.324324324324325, 4.334334334334335, 4.344344344344345, 4.354354354354355, 4.364364364364365, 4.374374374374375, 4.384384384384385, 4.394394394394395, 4.404404404404405, 4.414414414414415, 4.424424424424425, 4.434434434434435, 4.444444444444445, 4.454454454454455, 4.464464464464465, 4.474474474474475, 4.484484484484485, 4.494494494494495, 4.504504504504505, 4.514514514514515, 4.524524524524525, 4.534534534534535, 4.544544544544545, 4.554554554554555, 4.564564564564565, 4.574574574574575, 4.584584584584585, 4.594594594594595, 4.604604604604605, 4.614614614614615, 4.624624624624625, 4.634634634634635, 4.644644644644645, 4.654654654654655, 4.664664664664665, 4.674674674674675, 4.684684684684685, 4.694694694694695, 4.704704704704705, 4.714714714714715, 4.724724724724725, 4.734734734734735, 4.744744744744745, 4.754754754754755, 4.764764764764765, 4.774774774774775, 4.784784784784785, 4.794794794794795, 4.804804804804805, 4.814814814814815, 4.824824824824825, 4.834834834834835, 4.844844844844845, 4.854854854854855, 4.864864864864865, 4.874874874874875, 4.884884884884885, 4.894894894894895, 4.904904904904905, 4.914914914914915, 4.924924924924925, 4.934934934934935, 4.944944944944945, 4.954954954954955, 4.964964964964965, 4.974974974974975, 4.984984984984985, 4.994994994994995, 5.005005005005005, 5.015015015015015, 5.025025025025025, 5.035035035035035, 5.045045045045045, 5.055055055055055, 5.065065065065065, 5.075075075075075, 5.085085085085085, 5.095095095095095, 5.105105105105105, 5.115115115115115, 5.125125125125125, 5.135135135135135, 5.145145145145145, 5.155155155155155, 5.165165165165165, 5.175175175175175, 5.185185185185185, 5.195195195195195, 5.205205205205205, 5.215215215215215, 5.225225225225225, 5.235235235235235, 5.245245245245245, 5.255255255255255, 5.265265265265265, 5.275275275275275, 5.285285285285285, 5.295295295295295, 5.305305305305305, 5.315315315315315, 5.325325325325325, 5.335335335335335, 5.345345345345345, 5.355355355355355, 5.365365365365365, 5.375375375375375, 5.385385385385385, 5.395395395395395, 5.405405405405405, 5.415415415415415, 5.425425425425425, 5.435435435435435, 5.445445445445445, 5.455455455455455, 5.465465465465465, 5.475475475475475, 5.485485485485485, 5.495495495495495, 5.505505505505505, 5.515515515515515, 5.525525525525525, 5.535535535535535, 5.545545545545545, 5.555555555555555, 5.565565565565565, 5.575575575575575, 5.585585585585585, 5.595595595595595, 5.605605605605605, 5.615615615615615, 5.625625625625625, 5.635635635635635, 5.645645645645645, 5.655655655655655, 5.665665665665665, 5.675675675675675, 5.685685685685685, 5.6956956956956954, 5.7057057057057055, 5.7157157157157155, 5.7257257257257255, 5.7357357357357355, 5.7457457457457455, 5.7557557557557555, 5.7657657657657655, 5.7757757757757755, 5.7857857857857855, 5.7957957957957955, 5.8058058058058055, 5.8158158158158155, 5.8258258258258255, 5.8358358358358355, 5.8458458458458455, 5.8558558558558556, 5.865865865865866, 5.875875875875876, 5.885885885885886, 5.895895895895896, 5.905905905905906, 5.915915915915916, 5.925925925925926, 5.935935935935936, 5.945945945945946, 5.955955955955956, 5.965965965965966, 5.975975975975976, 5.985985985985986, 5.995995995995996, 6.006006006006006, 6.016016016016016, 6.026026026026026, 6.036036036036036, 6.046046046046046, 6.056056056056056, 6.066066066066066, 6.076076076076076, 6.086086086086086, 6.096096096096096, 6.106106106106106, 6.116116116116116, 6.126126126126126, 6.136136136136136, 6.146146146146146, 6.156156156156156, 6.166166166166166, 6.176176176176176, 6.186186186186186, 6.196196196196196, 6.206206206206206, 6.216216216216216, 6.226226226226226, 6.236236236236236, 6.246246246246246, 6.256256256256256, 6.266266266266266, 6.276276276276276, 6.286286286286286, 6.296296296296296, 6.306306306306306, 6.316316316316316, 6.326326326326326, 6.336336336336336, 6.346346346346346, 6.356356356356356, 6.366366366366366, 6.376376376376376, 6.386386386386386, 6.396396396396396, 6.406406406406406, 6.416416416416417, 6.426426426426427, 6.436436436436437, 6.446446446446447, 6.456456456456457, 6.466466466466467, 6.476476476476477, 6.486486486486487, 6.496496496496497, 6.506506506506507, 6.516516516516517, 6.526526526526527, 6.536536536536537, 6.546546546546547, 6.556556556556557, 6.566566566566567, 6.576576576576577, 6.586586586586587, 6.596596596596597, 6.606606606606607, 6.616616616616617, 6.626626626626627, 6.636636636636637, 6.646646646646647, 6.656656656656657, 6.666666666666667, 6.676676676676677, 6.686686686686687, 6.696696696696697, 6.706706706706707, 6.716716716716717, 6.726726726726727, 6.736736736736737, 6.746746746746747, 6.756756756756757, 6.766766766766767, 6.776776776776777, 6.786786786786787, 6.796796796796797, 6.806806806806807, 6.816816816816817, 6.826826826826827, 6.836836836836837, 6.846846846846847, 6.856856856856857, 6.866866866866867, 6.876876876876877, 6.886886886886887, 6.896896896896897, 6.906906906906907, 6.916916916916917, 6.926926926926927, 6.936936936936937, 6.946946946946947, 6.956956956956957, 6.966966966966967, 6.976976976976977, 6.986986986986987, 6.996996996996997, 7.007007007007007, 7.017017017017017, 7.027027027027027, 7.037037037037037, 7.047047047047047, 7.057057057057057, 7.067067067067067, 7.077077077077077, 7.087087087087087, 7.097097097097097, 7.107107107107107, 7.117117117117117, 7.127127127127127, 7.137137137137137, 7.147147147147147, 7.157157157157157, 7.167167167167167, 7.177177177177177, 7.187187187187187, 7.197197197197197, 7.207207207207207, 7.217217217217217, 7.227227227227227, 7.237237237237237, 7.247247247247247, 7.257257257257257, 7.267267267267267, 7.277277277277277, 7.287287287287287, 7.297297297297297, 7.307307307307307, 7.317317317317317, 7.327327327327327, 7.337337337337337, 7.347347347347347, 7.357357357357357, 7.367367367367367, 7.377377377377377, 7.387387387387387, 7.397397397397397, 7.407407407407407, 7.4174174174174174, 7.4274274274274275, 7.4374374374374375, 7.4474474474474475, 7.4574574574574575, 7.4674674674674675, 7.4774774774774775, 7.4874874874874875, 7.4974974974974975, 7.5075075075075075, 7.5175175175175175, 7.5275275275275275, 7.5375375375375375, 7.5475475475475475, 7.5575575575575575, 7.5675675675675675, 7.5775775775775776, 7.587587587587588, 7.597597597597598, 7.607607607607608, 7.617617617617618, 7.627627627627628, 7.637637637637638, 7.647647647647648, 7.657657657657658, 7.667667667667668, 7.677677677677678, 7.687687687687688, 7.697697697697698, 7.707707707707708, 7.717717717717718, 7.727727727727728, 7.737737737737738, 7.747747747747748, 7.757757757757758, 7.767767767767768, 7.777777777777778, 7.787787787787788, 7.797797797797798, 7.807807807807808, 7.817817817817818, 7.827827827827828, 7.837837837837838, 7.847847847847848, 7.857857857857858, 7.867867867867868, 7.877877877877878, 7.887887887887888, 7.897897897897898, 7.907907907907908, 7.917917917917918, 7.927927927927928, 7.937937937937938, 7.947947947947948, 7.957957957957958, 7.967967967967968, 7.977977977977978, 7.987987987987988, 7.997997997997998, 8.008008008008009, 8.018018018018019, 8.028028028028029, 8.038038038038039, 8.048048048048049, 8.058058058058059, 8.068068068068069, 8.078078078078079, 8.088088088088089, 8.098098098098099, 8.108108108108109, 8.118118118118119, 8.128128128128129, 8.138138138138139, 8.148148148148149, 8.158158158158159, 8.168168168168169, 8.178178178178179, 8.188188188188189, 8.198198198198199, 8.208208208208209, 8.218218218218219, 8.228228228228229, 8.238238238238239, 8.248248248248249, 8.258258258258259, 8.268268268268269, 8.278278278278279, 8.288288288288289, 8.298298298298299, 8.308308308308309, 8.318318318318319, 8.328328328328329, 8.338338338338339, 8.348348348348349, 8.358358358358359, 8.368368368368369, 8.378378378378379, 8.388388388388389, 8.398398398398399, 8.408408408408409, 8.418418418418419, 8.428428428428429, 8.438438438438439, 8.448448448448449, 8.458458458458459, 8.468468468468469, 8.478478478478479, 8.488488488488489, 8.498498498498499, 8.508508508508509, 8.518518518518519, 8.528528528528529, 8.538538538538539, 8.548548548548549, 8.558558558558559, 8.568568568568569, 8.578578578578579, 8.588588588588589, 8.598598598598599, 8.608608608608609, 8.618618618618619, 8.62862862862863, 8.63863863863864, 8.64864864864865, 8.65865865865866, 8.66866866866867, 8.67867867867868, 8.68868868868869, 8.6986986986987, 8.70870870870871, 8.71871871871872, 8.72872872872873, 8.73873873873874, 8.74874874874875, 8.75875875875876, 8.76876876876877, 8.77877877877878, 8.78878878878879, 8.7987987987988, 8.80880880880881, 8.81881881881882, 8.82882882882883, 8.83883883883884, 8.84884884884885, 8.85885885885886, 8.86886886886887, 8.87887887887888, 8.88888888888889, 8.8988988988989, 8.90890890890891, 8.91891891891892, 8.92892892892893, 8.93893893893894, 8.94894894894895, 8.95895895895896, 8.96896896896897, 8.97897897897898, 8.98898898898899, 8.998998998999, 9.00900900900901, 9.01901901901902, 9.02902902902903, 9.03903903903904, 9.04904904904905, 9.05905905905906, 9.06906906906907, 9.07907907907908, 9.08908908908909, 9.0990990990991, 9.10910910910911, 9.11911911911912, 9.12912912912913, 9.13913913913914, 9.14914914914915, 9.15915915915916, 9.16916916916917, 9.17917917917918, 9.18918918918919, 9.1991991991992, 9.20920920920921, 9.21921921921922, 9.22922922922923, 9.23923923923924, 9.24924924924925, 9.25925925925926, 9.26926926926927, 9.27927927927928, 9.28928928928929, 9.2992992992993, 9.30930930930931, 9.31931931931932, 9.32932932932933, 9.33933933933934, 9.34934934934935, 9.35935935935936, 9.36936936936937, 9.37937937937938, 9.38938938938939, 9.3993993993994, 9.40940940940941, 9.41941941941942, 9.42942942942943, 9.43943943943944, 9.44944944944945, 9.45945945945946, 9.46946946946947, 9.47947947947948, 9.48948948948949, 9.4994994994995, 9.50950950950951, 9.51951951951952, 9.52952952952953, 9.53953953953954, 9.54954954954955, 9.55955955955956, 9.56956956956957, 9.57957957957958, 9.58958958958959, 9.5995995995996, 9.60960960960961, 9.61961961961962, 9.62962962962963, 9.63963963963964, 9.64964964964965, 9.65965965965966, 9.66966966966967, 9.67967967967968, 9.68968968968969, 9.6996996996997, 9.70970970970971, 9.71971971971972, 9.72972972972973, 9.73973973973974, 9.74974974974975, 9.75975975975976, 9.76976976976977, 9.77977977977978, 9.78978978978979, 9.7997997997998, 9.80980980980981, 9.81981981981982, 9.82982982982983, 9.83983983983984, 9.84984984984985, 9.85985985985986, 9.86986986986987, 9.87987987987988, 9.88988988988989, 9.8998998998999, 9.90990990990991, 9.91991991991992, 9.92992992992993, 9.93993993993994, 9.94994994994995, 9.95995995995996, 9.96996996996997, 9.97997997997998, 9.98998998998999, 10.0], "y": [-0.4499999999999993, -0.40197570822452544, -0.3541987635987045, -0.30666861772900145, -0.2593847222218848, -0.21234652868381065, -0.16555348872125109, -0.11900505394066752, -0.07270067594851781, -0.026639806351274053, 0.019178103244600564, 0.06475360123264817, 0.1100872360063967, 0.15517955595939004, 0.2000311094851579, 0.24464244497723886, 0.28901411082916795, 0.33314665543448196, 0.3770406271867195, 0.420696574479412, 0.4641150457060945, 0.5072965892603092, 0.5502417535355892, 0.5929510869254679, 0.6354251378234821, 0.6776644546231685, 0.7196695857180657, 0.7614410795017088, 0.8029794843676292, 0.8442853487093656, 0.8853592209204582, 0.9262016493944385, 0.9668131825248398, 1.0071943687052043, 1.0473457563290633, 1.0872678937899556, 1.1269613294814178, 1.1664266117969815, 1.2056642891301887, 1.2446749098745693, 1.28345902242366, 1.3220171751710064, 1.3603499165101294, 1.3984577948345782, 1.4363413585378773, 1.474001156013574, 1.511437735655198, 1.5486516458562827, 1.5856434350103683, 1.6224136515109917, 1.6589628437516861, 1.6952915601259901, 1.7314003490274352, 1.7672897588495617, 1.802960337985903, 1.8384126348299974, 1.873647197775382, 1.9086645752155844, 1.9434653155441506, 1.978049967154612, 2.012419078440505, 2.046573197795367, 2.0805128736127294, 2.114238654286134, 2.1477510882091124, 2.1810507237752033, 2.214138109377945, 2.247013793410866, 2.2796783242675076, 2.3121322503414037, 2.3443761200260926, 2.3764104817151095, 2.4082358838019893, 2.439852874680269, 2.471262002743483, 2.502463816385169, 2.533458863998863, 2.564247693978099, 2.594830854716415, 2.6252088946073444, 2.6553823620444277, 2.6853518054211998, 2.715117773131192, 2.7446808135679435, 2.774041475124992, 2.80320030619587, 2.832157855174115, 2.860914670453263, 2.8894713004268517, 2.917828293488415, 2.945986198031486, 2.9739455624496083, 3.00170693513631, 3.0292708644851336, 3.056637898889612, 3.0838085867432783, 3.110783476439675, 3.1375631163723314, 3.1641480549347865, 3.1905388405205803, 3.216736021523241, 3.2427401463363106, 3.2685517633533214, 3.294171420967812, 3.3195996675733177, 3.344837051563373, 3.3698841213315145, 3.3947414252712784, 3.419409511776202, 3.4438889292398223, 3.4681802260556696, 3.492283950617284, 3.5162006513182025, 3.5399308765519573, 3.5634751747120887, 3.5868340941921275, 3.610008183385615, 3.6329979906860848, 3.6558040644870715, 3.6784269531821154, 3.700867205164746, 3.723125368828505, 3.745201992566926, 3.7670976247735437, 3.788812813841899, 3.8103481081655195, 3.8317040561379496, 3.8528812061527216, 3.8738801066033695, 3.8947013058834346, 3.9153453523864474, 3.9358127945059476, 3.956104180635469, 3.976220059168548, 3.9961609784987235, 4.015927487019525, 4.0355201331244945, 4.054939465207165, 4.074186031661074, 4.093260380879759, 4.11216306125675, 4.130894621185589, 4.1494556090598085, 4.1678465732729455, 4.186068062218538, 4.204120624290119, 4.222004807881225, 4.239721161385394, 4.2572702331961585, 4.27465257170706, 4.291868725311627, 4.308919242403403, 4.32580467137592, 4.342525560622712, 4.359082458537319, 4.375475913513275, 4.391706473944117, 4.407774688223381, 4.4236811047446, 4.439426271901316, 4.455010738087058, 4.4704350516953655, 4.485699761119776, 4.500805414753822, 4.515752560991042, 4.530541748224972, 4.545173524849146, 4.559648439257103, 4.573967039842374, 4.5881298749985, 4.602137493119015, 4.615990442597454, 4.629689271827357, 4.643234529202253, 4.656626763115685, 4.669866521961184, 4.6829543541322876, 4.695890808022535, 4.708676432025457, 4.721311774534592, 4.733797383943476, 4.746133808645644, 4.7583215970346355, 4.770361297503981, 4.78225345844722, 4.793998628257887, 4.805597355329519, 4.817050188055653, 4.828357674829822, 4.839520364045565, 4.8505388040964155, 4.86141354337591, 4.8721451302775876, 4.882734113194979, 4.8931810405216245, 4.903486460651058, 4.9136509219768145, 4.923674972892433, 4.933559161791448, 4.943304037067395, 4.95291014711381, 4.96237804032423, 4.97170826509219, 4.980901369811225, 4.989957902874874, 4.99887841267667, 5.007663447610151, 5.0163135560688525, 5.02482928644631, 5.033211187136057, 5.041459806531635, 5.0495756930265765, 5.057559395014418, 5.065411460888695, 5.073132439042944, 5.080722877870701, 5.088183325765503, 5.095514331120884, 5.102716442330381, 5.10979020778753, 5.116736175885866, 5.123554895018927, 5.1302469135802475, 5.136812779963363, 5.1432530425618115, 5.149568249769126, 5.155758949978845, 5.161825691584505, 5.167769022979639, 5.173589492557785, 5.179287648712479, 5.184864039837256, 5.190319214325654, 5.1956537205712054, 5.20086810696745, 5.20596292190792, 5.210938713786156, 5.215796030995691, 5.22053542193006, 5.225157434982801, 5.229662618547449, 5.234051521017541, 5.238324690786612, 5.242482676248199, 5.246526025795837, 5.25045528782306, 5.254271010723409, 5.257973742890417, 5.261564032717619, 5.265042428598553, 5.268409478926753, 5.271665732095757, 5.2748117364991, 5.277848040530317, 5.280775192582946, 5.283593741050522, 5.286304234326581, 5.288907220804659, 5.291403248878291, 5.293792866941016, 5.296076623386365, 5.298255066607879, 5.300328744999091, 5.302298206953537, 5.304164000864756, 5.30592667512628, 5.307586778131647, 5.309144858274394, 5.310601463948053, 5.311957143546165, 5.313212445462263, 5.314367918089884, 5.315424109822563, 5.316381569053837, 5.31724084417724, 5.3180024835863104, 5.318667035674583, 5.319235048835596, 5.319707071462881, 5.320083651949978, 5.32036533869042, 5.320552680077746, 5.32064622450549, 5.320646520367187, 5.320554116056375, 5.320369559966588, 5.320093400491366, 5.3197261860242415, 5.31926846495875, 5.318720785688429, 5.318083696606815, 5.317357746107442, 5.316543482583848, 5.315641454429566, 5.314652210038137, 5.313576297803092, 5.312414266117971, 5.311166663376306, 5.309834037971635, 5.308416938297494, 5.306915912747419, 5.3053315097149465, 5.3036642775936125, 5.301914764776951, 5.3000835196585, 5.2981710906317945, 5.296178026090371, 5.294104874427765, 5.2919521840375126, 5.28972050331315, 5.287410380648213, 5.285022364436238, 5.28255700307076, 5.280014844945315, 5.277396438453442, 5.2747023319886726, 5.271933073944545, 5.269089212714595, 5.266171296692359, 5.263179874271372, 5.260115493845169, 5.256978703807288, 5.253770052551266, 5.250490088470636, 5.247139359958936, 5.243718415409702, 5.240227803216467, 5.236668071772771, 5.233039769472148, 5.2293434447081335, 5.225579645874265, 5.221748921364076, 5.2178518195711066, 5.213888888888889, 5.20986067771096, 5.205767734430857, 5.201610607442114, 5.197389845138268, 5.193105995912857, 5.188759608159413, 5.184351230271474, 5.179881410642576, 5.175350697666256, 5.170759639736049, 5.166108785245489, 5.161398682588115, 5.156629880157462, 5.151802926347065, 5.146918369550461, 5.141976758161185, 5.136978640572775, 5.131924565178765, 5.126815080372692, 5.1216507345480915, 5.116432076098499, 5.1111596534174515, 5.105834014898484, 5.100455708935135, 5.095025283920936, 5.089543288249427, 5.084010270314142, 5.078426778508616, 5.072793361226388, 5.067110566860993, 5.061378943805965, 5.055599040454842, 5.049771405201159, 5.043896586438453, 5.037975132560259, 5.032007591960111, 5.02599451303155, 5.019936444168108, 5.013833933763323, 5.007687530210729, 5.001497781903863, 4.9952652372362625, 4.988990444601461, 4.982673952392995, 4.976316309004403, 4.969918062829217, 4.963479762260976, 4.957001955693214, 4.950485191519469, 4.943930018133276, 4.937336983928169, 4.930706637297687, 4.924039526635365, 4.91733620033474, 4.910597206789345, 4.903823094392718, 4.897014411538395, 4.8901717066199115, 4.8832955280308035, 4.8763864241646075, 4.869444943414859, 4.862471634175094, 4.855467044838848, 4.848431723799659, 4.841366219451061, 4.83427108018659, 4.827146854399783, 4.819994090484174, 4.812813336833303, 4.805605141840702, 4.798370053899907, 4.791108621404458, 4.783821392747885, 4.77650891632373, 4.769171740525527, 4.761810413746809, 4.754425484381116, 4.747017500821981, 4.739587011462941, 4.7321345646975335, 4.724660708919291, 4.717165992521753, 4.709650963898454, 4.70211617144293, 4.694562163548718, 4.686989488609351, 4.679398695018369, 4.671790331169304, 4.6641649454556955, 4.656523086271077, 4.648865302008986, 4.641192141062957, 4.633504151826528, 4.625801882693233, 4.61808588205661, 4.610356698310191, 4.602614879847518, 4.594860975062121, 4.587095532347541, 4.579319100097311, 4.571532226704966, 4.563735460564045, 4.555929350068082, 4.548114443610615, 4.540291289585178, 4.532460436385307, 4.524622432404539, 4.516777826036408, 4.508927165674454, 4.5010709997122085, 4.49320987654321, 4.4853443445609935, 4.4774749521590955, 4.469602247731052, 4.461726779670398, 4.453849096370671, 4.4459697462254075, 4.438089277628141, 4.4302082389724085, 4.422327178651747, 4.414446645059691, 4.406567186589776, 4.39868935163554, 4.390813688590519, 4.382940745848248, 4.375071071802262, 4.3672052148460985, 4.359343723373293, 4.351487145777382, 4.343636030451901, 4.335790925790384, 4.327952380186371, 4.320120942033395, 4.312297159724992, 4.3044815816547, 4.296674756216054, 4.288877231802589, 4.281089556807842, 4.273312279625349, 4.265545948648645, 4.257791112271267, 4.250048318886752, 4.242318116888633, 4.234601054670448, 4.226897680625733, 4.219208543148023, 4.211534190630855, 4.203875171467763, 4.1962320340522865, 4.188605326777959, 4.180995598038316, 4.173403396226895, 4.16582926973723, 4.158273766962861, 4.15073743629732, 4.143220826134144, 4.13572448486687, 4.128248960889033, 4.120794802594169, 4.113362558375815, 4.105952776627505, 4.098566005742777, 4.091202794115166, 4.083863690138207, 4.076549242205439, 4.069259998710395, 4.0619965080466125, 4.054759318607626, 4.047548978786973, 4.04036603697819, 4.033211041574811, 4.0260845409703725, 4.018987083558412, 4.011919217732463, 4.004881491886064, 3.9978744544127496, 3.9908986537060556, 3.983954638159519, 3.9770429561666742, 3.9701641561210588, 3.9633187864162083, 3.956507395445658, 3.9497305316029445, 3.9429887432816035, 3.9362825788751716, 3.9296125867771843, 3.9229793153811765, 3.916383313080686, 3.909825128269248, 3.903305309340398, 3.896824404687673, 3.8903829627046087, 3.8839815317847406, 3.8776206603216044, 3.8713008967087372, 3.865022789339674, 3.8587868866079513, 3.852593736907105, 3.8464438886306698, 3.840337890172184, 3.834276289925182, 3.8282596362832004, 3.822288477639775, 3.8163633623884414, 3.8104848389227364, 3.8046534556361955, 3.7988697609223543, 3.793134303174749, 3.7874476307869163, 3.7818102921523913, 3.77622283566471, 3.770685809717409, 3.765199762704024, 3.759765243018091, 3.754382799053145, 3.7490529792027236, 3.743776331860362, 3.738553405419596, 3.733384748273962, 3.728270908816995, 3.723212435442233, 3.7182098765432103, 3.713263780513463, 3.708374695746527, 3.703543170635939, 3.6987697535752346, 3.69405499295795, 3.689399437177621, 3.684803634627783, 3.680268133701973, 3.6757934827937264, 3.6713802302965792, 3.6670289246040677, 3.662740114109727, 3.658514347207094, 3.6543521722897045, 3.6502541377510944, 3.6462207919847995, 3.6422526833843554, 3.638350360343299, 3.6345143712551664, 3.630745264513492, 3.627043588511814, 3.623409891643666, 3.6198447223025854, 3.6163486288821085, 3.6129221597757706, 3.6095658633771075, 3.606280288079655, 3.60306598227695, 3.5999234943625282, 3.5968533727299254, 3.593856165772677, 3.59093242188432, 3.5880826894583895, 3.585307516888422, 3.582607452567954, 3.57998304489052, 3.577434842249657, 3.5749633930389013, 3.572569245651788, 3.570252948481853, 3.5680150499226335, 3.565856098367664, 3.5637766422104815, 3.5617772298446218, 3.5598584096636205, 3.5580207300610143, 3.556264739430337, 3.5545909861651284, 3.553000018658921, 3.5514923853052522, 3.5500686344976584, 3.548729314629674, 3.547474974094838, 3.546306161286682, 3.545223424598746, 3.5442273124245642, 3.5433183731576716, 3.542497155191607, 3.541764206919903, 3.5411200767360986, 3.540565313033728, 3.5401004642063265, 3.539726078647433, 3.53944270475058, 3.5392508909093063, 3.5391511855171465, 3.5391441369676357, 3.5392302936543127, 3.5394102039707103, 3.539684416310367, 3.5400534790668168, 3.5405179406335967, 3.5410783494042435, 3.5417352537722904, 3.542489202131277, 3.5433407428747365, 3.5442904243962055, 3.5453387950892217, 3.546486403347318, 3.5477337975640335, 3.5490815261329023, 3.55053013744746, 3.5520801799012447, 3.55373220188779, 3.5554867518006334, 3.55734437803331, 3.5593056289793568, 3.5613710530323095, 3.563541198585703, 3.5658166140330745, 3.568197847767958, 3.5706854481838928, 3.5732799636744126, 3.5759819426330535, 3.5787919334533522, 3.581710484528843, 3.584738144253065, 3.587875461019552, 3.591122983221839, 3.5944812592534645, 3.597950837507962, 3.60153226637887, 3.605226094259723, 3.6090328695440563, 3.6129531406254083, 3.6169874558973114, 3.621136363753305, 3.625400412586924, 3.629780150791703, 3.63427612676118, 3.6388888888888884, 3.6436189855683674, 3.648466965193151, 3.6534333761567757, 3.658518766852777, 3.6637236856746904, 3.669048681016054, 3.6744943012704026, 3.6800610948312706, 3.6857496100921967, 3.6915603954467135, 3.6974939992883615, 3.7035509700106735, 3.7097318560071857, 3.7160372056714355, 3.722467567396956, 3.729023489577287, 3.735705520605962, 3.7425142088765173, 3.74945010278249, 3.7565137507174136, 3.7637057010748274, 3.771026502248265, 3.778476702631263, 3.7860568506173577, 3.7937674946000834, 3.8016091829729795, 3.80958246412958, 3.817687886463419, 3.8259259983680356, 3.834297348236963, 3.8428024844637405, 3.8514419554419024, 3.860216309564983, 3.869126095226521, 3.878171860820049, 3.8873541547391075, 3.89667352537723, 3.9061305211279516, 3.91572569038481, 3.9254595815413387, 3.9353327429910774, 3.94534572312756, 3.955499070344321, 3.9657933330349, 3.9762290595928285, 3.9868067984116466, 3.9975270978848894, 4.00839050640609, 4.019397572368788, 4.030548844166516, 4.041844870192813, 4.0532861988412145, 4.064873378505254, 4.076606957578471, 4.088487484454397, 4.100515507526573, 4.112691575188533, 4.12501623583381, 4.137490037855946, 4.150113529648469, 4.162887259604924, 4.175811776118841, 4.188887627583756, 4.202115362393209, 4.215495528940731, 4.229028675619862, 4.242715350824136, 4.256556102947089, 4.270551480382258, 4.284702031523176, 4.299008304763384, 4.313470848496416, 4.328090211115804, 4.34286694101509, 4.357801586587804, 4.372894696227489, 4.388146818327677, 4.4035585012819, 4.419130293483701, 4.434862743326612, 4.450756399204172, 4.466811809509914, 4.4830295226373735, 4.49941008698009, 4.515954050931596, 4.53266196288543, 4.5495343712351275, 4.566571824374221, 4.583774870696253, 4.601144058594752, 4.618679936463261, 4.6363830526953125, 4.654253955684441, 4.672293193824185, 4.690501315508078, 4.70887886912966, 4.7274264030824655, 4.746144465760027, 4.765033605555885, 4.7840943708635715, 4.803327310076627, 4.822732971588585, 4.842311903792979, 4.8620646550833495, 4.881991773853229, 4.902093808496157, 4.922371307405667, 4.942824818975293, 4.963454891598577, 4.984262073669047, 5.005246913580247, 5.026409959725709, 5.047751760498967, 5.069272864293561, 5.090973819503023, 5.112855174520894, 5.134917477740707, 5.157161277555996, 5.179587122360301, 5.202195560547154, 5.224987140510096, 5.247962410642659, 5.271121919338379, 5.294466214990795, 5.317995845993437, 5.341711360739849, 5.365613307623562, 5.3897022350381105, 5.413978691377036, 5.438443225033868, 5.463096384402149, 5.487938717875412, 5.51297077384719, 5.538193100711028, 5.563606246860449, 5.589210760688998, 5.615007190590211, 5.6409960849576155, 5.66717799218476, 5.693553460665168, 5.720123038792387, 5.746887274959946, 5.77384671756138, 5.8010019149902305, 5.828353415640027, 5.855901767904314, 5.883647520176621, 5.911591220850482, 5.93973341831944, 5.968074660977024, 5.996615497216777, 6.025356475432231, 6.054298144016919, 6.0834410513643835, 6.112785745868154, 6.142332775921773, 6.172082689918773, 6.202036036252687, 6.232193363317059, 6.262555219505414, 6.293122153211299, 6.3238947128282454, 6.354873446749785, 6.386058903369461, 6.417451631080802, 6.449052178277352, 6.480861093352644, 6.512878924700208, 6.545106220713588, 6.577543529786314, 6.610191400311929, 6.643050380683965, 6.676121019295953, 6.7094038645414384, 6.742899464813948, 6.776608368507026, 6.810531124014206, 6.844668279729018, 6.879020384045007, 6.9135879853557, 6.948371632054642, 6.983371872535366, 7.0185892551914, 7.054024328416292, 7.0896776406035675, 7.125549740146773, 7.161641175439438, 7.197952494875095, 7.234484246847289, 7.271236979749547, 7.308211241975414, 7.345407581918422, 7.3828265479721, 7.420468688529997, 7.4583345519856366, 7.496424686732565, 7.534739641164314, 7.5732799636744135, 7.612046202656411, 7.651038906503833, 7.690258623610221, 7.72970590236911, 7.769381291174032, 7.809285338418529, 7.84941859249613, 7.8897816018003795, 7.93037491472481, 7.97119907966295, 8.012254645008348, 8.053542159154528, 8.095062170495039, 8.136815227423408, 8.178801878333168, 8.221022671617865, 8.263478155671026, 8.306168878886194, 8.349095389656902, 8.39225823637668, 8.435657967439077, 8.479295131237615, 8.523170276165843, 8.567283950617284, 8.611636702985486, 8.65622908166398, 8.701061635046301, 8.746134911525985, 8.79144945949656, 8.83700582735158, 8.882804563484571, 8.92884621628907, 8.975131334158613, 9.021660465486724, 9.06843415866696, 9.11545296209285, 9.162717424157925, 9.210228093255726, 9.25798551777977, 9.305990246123624, 9.35424282668081, 9.40274380784486, 9.451493738009317, 9.500493165567697, 9.549742638913568, 9.59924270644045, 9.648993916541876, 9.698996817611388, 9.749251958042505, 9.799759886228788, 9.850521150563765, 9.901536299440966, 9.952805881253932, 10.004330444396185, 10.056110537261285, 10.108146708242753, 10.16043950573413, 10.21298947812895, 10.265797173820737, 10.31886314120305, 10.372187928669415, 10.425772084613364, 10.479616157428438, 10.533720695508158, 10.588086247246084, 10.642713361035742, 10.697602585270664, 10.752754468344392, 10.808169558650444, 10.86384840458238, 10.919791554533735, 10.975999556898028, 11.032472960068809, 11.089212312439592, 11.146218162403946, 11.203491058355386, 11.261031548687454, 11.318840181793686, 11.3769175060676, 11.435264069902765, 11.493880421692698, 11.552767109830938, 11.61192468271102, 11.671353688726466, 11.731054676270839, 11.791028193737663, 11.851274789520474, 11.911795012012806, 11.972589409608183, 12.033658530700169, 12.095002923682282, 12.156623136948063, 12.218519718891047, 12.280693217904751, 12.343144182382746, 12.40587316071855, 12.4688807013057, 12.532167352537734, 12.595733662808168, 12.65958018051057, 12.723707454038465, 12.788116031785382, 12.852806462144864, 12.917779293510428, 12.98303507427564, 13.04857435283402, 13.11439767757911, 13.180505596904439, 13.246898659203529, 13.313577412869947, 13.38054240629722, 13.447794187878873, 13.51533330600845, 13.583160309079467, 13.651275745485496, 13.719680163620051, 13.788374111876674, 13.857358138648898, 13.926632792330244, 13.996198621314278, 14.066056173994522, 14.13620599876451, 14.20664864401778, 14.277384658147852, 14.348414589548291, 14.419738986612622, 14.491358397734375, 14.56327337130709, 14.635484455724287, 14.707992199379532, 14.780797150666347, 14.85389985797827, 14.927300869708828, 15.001000734251551, 15.075]}], "layout": {"height": 600, "template": {"data": {"bar": [{"error_x": {"color": "#2a3f5f"}, "error_y": {"color": "#2a3f5f"}, "marker": {"line": {"color": "#E5ECF6", "width": 0.5}}, "type": "bar"}], "barpolar": [{"marker": {"line": {"color": "#E5ECF6", "width": 0.5}}, "type": "barpolar"}], "carpet": [{"aaxis": {"endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f"}, "baxis": {"endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f"}, "type": "carpet"}], "choropleth": [{"colorbar": {"outlinewidth": 0, "ticks": ""}, "type": "choropleth"}], "contour": [{"colorbar": {"outlinewidth": 0, "ticks": ""}, "colorscale": [[0.0, "#0d0887"], [0.1111111111111111, "#46039f"], [0.2222222222222222, "#7201a8"], [0.3333333333333333, "#9c179e"], [0.4444444444444444, "#bd3786"], [0.5555555555555556, "#d8576b"], [0.6666666666666666, "#ed7953"], [0.7777777777777778, "#fb9f3a"], [0.8888888888888888, "#fdca26"], [1.0, "#f0f921"]], "type": "contour"}], "contourcarpet": [{"colorbar": {"outlinewidth": 0, "ticks": ""}, "type": "contourcarpet"}], "heatmap": [{"colorbar": {"outlinewidth": 0, "ticks": ""}, "colorscale": [[0.0, "#0d0887"], [0.1111111111111111, "#46039f"], [0.2222222222222222, "#7201a8"], [0.3333333333333333, "#9c179e"], [0.4444444444444444, "#bd3786"], [0.5555555555555556, "#d8576b"], [0.6666666666666666, "#ed7953"], [0.7777777777777778, "#fb9f3a"], [0.8888888888888888, "#fdca26"], [1.0, "#f0f921"]], "type": "heatmap"}], "heatmapgl": [{"colorbar": {"outlinewidth": 0, "ticks": ""}, "colorscale": [[0.0, "#0d0887"], [0.1111111111111111, "#46039f"], [0.2222222222222222, "#7201a8"], [0.3333333333333333, "#9c179e"], [0.4444444444444444, "#bd3786"], [0.5555555555555556, "#d8576b"], [0.6666666666666666, "#ed7953"], [0.7777777777777778, "#fb9f3a"], [0.8888888888888888, "#fdca26"], [1.0, "#f0f921"]], "type": "heatmapgl"}], "histogram": [{"marker": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "histogram"}], "histogram2d": [{"colorbar": {"outlinewidth": 0, "ticks": ""}, "colorscale": [[0.0, "#0d0887"], [0.1111111111111111, "#46039f"], [0.2222222222222222, "#7201a8"], [0.3333333333333333, "#9c179e"], [0.4444444444444444, "#bd3786"], [0.5555555555555556, "#d8576b"], [0.6666666666666666, "#ed7953"], [0.7777777777777778, "#fb9f3a"], [0.8888888888888888, "#fdca26"], [1.0, "#f0f921"]], "type": "histogram2d"}], "histogram2dcontour": [{"colorbar": {"outlinewidth": 0, "ticks": ""}, "colorscale": [[0.0, "#0d0887"], [0.1111111111111111, "#46039f"], [0.2222222222222222, "#7201a8"], [0.3333333333333333, "#9c179e"], [0.4444444444444444, "#bd3786"], [0.5555555555555556, "#d8576b"], [0.6666666666666666, "#ed7953"], [0.7777777777777778, "#fb9f3a"], [0.8888888888888888, "#fdca26"], [1.0, "#f0f921"]], "type": "histogram2dcontour"}], "mesh3d": [{"colorbar": {"outlinewidth": 0, "ticks": ""}, "type": "mesh3d"}], "parcoords": [{"line": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "parcoords"}], "pie": [{"automargin": true, "type": "pie"}], "scatter": [{"marker": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "scatter"}], "scatter3d": [{"line": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "marker": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "scatter3d"}], "scattercarpet": [{"marker": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "scattercarpet"}], "scattergeo": [{"marker": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "scattergeo"}], "scattergl": [{"marker": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "scattergl"}], "scattermapbox": [{"marker": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "scattermapbox"}], "scatterpolar": [{"marker": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "scatterpolar"}], "scatterpolargl": [{"marker": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "scatterpolargl"}], "scatterternary": [{"marker": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "type": "scatterternary"}], "surface": [{"colorbar": {"outlinewidth": 0, "ticks": ""}, "colorscale": [[0.0, "#0d0887"], [0.1111111111111111, "#46039f"], [0.2222222222222222, "#7201a8"], [0.3333333333333333, "#9c179e"], [0.4444444444444444, "#bd3786"], [0.5555555555555556, "#d8576b"], [0.6666666666666666, "#ed7953"], [0.7777777777777778, "#fb9f3a"], [0.8888888888888888, "#fdca26"], [1.0, "#f0f921"]], "type": "surface"}], "table": [{"cells": {"fill": {"color": "#EBF0F8"}, "line": {"color": "white"}}, "header": {"fill": {"color": "#C8D4E3"}, "line": {"color": "white"}}, "type": "table"}]}, "layout": {"annotationdefaults": {"arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1}, "autotypenumbers": "strict", "coloraxis": {"colorbar": {"outlinewidth": 0, "ticks": ""}}, "colorscale": {"diverging": [[0, "#8e0152"], [0.1, "#c51b7d"], [0.2, "#de77ae"], [0.3, "#f1b6da"], [0.4, "#fde0ef"], [0.5, "#f7f7f7"], [0.6, "#e6f5d0"], [0.7, "#b8e186"], [0.8, "#7fbc41"], [0.9, "#4d9221"], [1, "#276419"]], "sequential": [[0.0, "#0d0887"], [0.1111111111111111, "#46039f"], [0.2222222222222222, "#7201a8"], [0.3333333333333333, "#9c179e"], [0.4444444444444444, "#bd3786"], [0.5555555555555556, "#d8576b"], [0.6666666666666666, "#ed7953"], [0.7777777777777778, "#fb9f3a"], [0.8888888888888888, "#fdca26"], [1.0, "#f0f921"]], "sequentialminus": [[0.0, "#0d0887"], [0.1111111111111111, "#46039f"], [0.2222222222222222, "#7201a8"], [0.3333333333333333, "#9c179e"], [0.4444444444444444, "#bd3786"], [0.5555555555555556, "#d8576b"], [0.6666666666666666, "#ed7953"], [0.7777777777777778, "#fb9f3a"], [0.8888888888888888, "#fdca26"], [1.0, "#f0f921"]]}, "colorway": ["#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52"], "font": {"color": "#2a3f5f"}, "geo": {"bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white"}, "hoverlabel": {"align": "left"}, "hovermode": "closest", "mapbox": {"style": "light"}, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": {"angularaxis": {"gridcolor": "white", "linecolor": "white", "ticks": ""}, "bgcolor": "#E5ECF6", "radialaxis": {"gridcolor": "white", "linecolor": "white", "ticks": ""}}, "scene": {"xaxis": {"backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white"}, "yaxis": {"backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white"}, "zaxis": {"backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white"}}, "shapedefaults": {"line": {"color": "#2a3f5f"}}, "ternary": {"aaxis": {"gridcolor": "white", "linecolor": "white", "ticks": ""}, "baxis": {"gridcolor": "white", "linecolor": "white", "ticks": ""}, "bgcolor": "#E5ECF6", "caxis": {"gridcolor": "white", "linecolor": "white", "ticks": ""}}, "title": {"x": 0.05}, "xaxis": {"automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": {"standoff": 15}, "zerolinecolor": "white", "zerolinewidth": 2}, "yaxis": {"automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": {"standoff": 15}, "zerolinecolor": "white", "zerolinewidth": 2}}}, "title": {"text": "Samples and True Function. Dataset 0"}, "width": 600, "xaxis": {"range": [0, 10]}, "yaxis": {"range": [-4, 20]}}}, "text/html": "
"}}]}}}, "version_major": 2, "version_minor": 0}